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Finding the Fourth Proportional to 111.29, 167.85 and 109.80

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Solution

The fourth proportional to 111.29, 167.85 and 109.80 is: 165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.29 : 167.85 = 109.80 : x
  2. Step 2: Convert to fraction form
    111.29/167.85 = 109.80/x
  3. Step 3: Cross multiply
    111.29x = 167.85 × 109.80
  4. Step 4: Simplify right side
    111.29x = 18,429.93
  5. Step 5: Solve for x
    x = 18,429.93/111.29
  6. Step 6: Final answer
    x = 165.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.